106396416 has 180 divisors, whose sum is σ = 363071632. Its totient is φ = 30357504.

The previous prime is 106396399. The next prime is 106396429. The reversal of 106396416 is 614693601.

106396416 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 9 + 641 + 6 = 666.

It is a super-2 number, since 2×106396416² = 22640394675290112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144786 + ... + 145518.

Almost surely, 2^106396416 is an apocalyptic number.

106396416 is a gapful number since it is divisible by the number (16) 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 106396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181535816).

106396416 is an abundant number, since it is smaller than the sum of its proper divisors (256675216).

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

106396416 is an frugal number, since it uses more digits than its factorization.

106396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106396416 is about 10314.8638381706. The cubic root of 106396416 is about 473.8515798731.

It can be divided in two parts, 1063 and 96416, that added together give a palindrome (97479).

The spelling of 106396416 in words is "one hundred six million, three hundred ninety-six thousand, four hundred sixteen".