106440264 has 256 divisors, whose sum is σ = 370137600. Its totient is φ = 27648000.

The previous prime is 106440263. The next prime is 106440311. The reversal of 106440264 is 462044601.

106440264 is a `hidden beast` number, since 10 + 644 + 0 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×106440264² = 22659059600779392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106440263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1053814 + ... + 1053914.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^106440264 is an apocalyptic number.

106440264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106440264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

106440264 is an abundant number, since it is smaller than the sum of its proper divisors (263697336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106440264 is a wasteful number, since it uses less digits than its factorization.

106440264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106440264 is about 10316.9890956616. The cubic root of 106440264 is about 473.9166653689.

Adding to 106440264 its reverse (462044601), we get a palindrome (568484865).

It can be divided in two parts, 1064 and 40264, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 106440264 in words is "one hundred six million, four hundred forty thousand, two hundred sixty-four".