106515376 has 80 divisors (see below), whose sum is σ = 239047200. Its totient is φ = 45516800.

The previous prime is 106515373. The next prime is 106515389. The reversal of 106515376 is 673515601.

It is a super-2 number, since 2×106515376² = 22691050648842752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106515373) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 209010 + ... + 209518.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^106515376 is an apocalyptic number.

106515376 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 106515376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523600).

106515376 is an abundant number, since it is smaller than the sum of its proper divisors (132531824).

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

106515376 is a wasteful number, since it uses less digits than its factorization.

106515376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 106515376 is about 10320.6286630224. The cubic root of 106515376 is about 474.0281158585.

The spelling of 106515376 in words is "one hundred six million, five hundred fifteen thousand, three hundred seventy-six".