106251264 has 264 divisors, whose sum is σ = 369573568. Its totient is φ = 29859840.

The previous prime is 106251259. The next prime is 106251307. The reversal of 106251264 is 462152601.

106251264 is a `hidden beast` number, since 10 + 625 + 1 + 26 + 4 = 666.

It is a super-2 number, since 2×106251264² = 22578662203195392, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741794 + ... + 1741854.

Almost surely, 2^106251264 is an apocalyptic number.

106251264 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 106251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184786784).

106251264 is an abundant number, since it is smaller than the sum of its proper divisors (263322304).

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

106251264 is an frugal number, since it uses more digits than its factorization.

106251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106251264 is about 10307.8253768678. The cubic root of 106251264 is about 473.6359967770.

It can be divided in two parts, 1062 and 51264, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 106251264 in words is "one hundred six million, two hundred fifty-one thousand, two hundred sixty-four".