106415232 has 256 divisors, whose sum is σ = 364262400. Its totient is φ = 26726400.

The previous prime is 106415209. The next prime is 106415249. The reversal of 106415232 is 232514601.

It is a super-2 number, since 2×106415232² = 22648403203227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744482 + ... + 1744542.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 2^106415232 is an apocalyptic number.

106415232 is a gapful number since it is divisible by the number (12) 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 106415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182131200).

106415232 is an abundant number, since it is smaller than the sum of its proper divisors (257847168).

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

106415232 is a wasteful number, since it uses less digits than its factorization.

106415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106415232 is about 10315.7758796903. The cubic root of 106415232 is about 473.8795114712.

Adding to 106415232 its reverse (232514601), we get a palindrome (338929833).

The spelling of 106415232 in words is "one hundred six million, four hundred fifteen thousand, two hundred thirty-two".