105941376 has 96 divisors (see below), whose sum is σ = 312432120. Its totient is φ = 34437120.

The previous prime is 105941347. The next prime is 105941383. The reversal of 105941376 is 673149501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105941376² = 22447150297546752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105941376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46111 + ... + 48353.

Almost surely, 2^105941376 is an apocalyptic number.

105941376 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 105941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156216060).

105941376 is an abundant number, since it is smaller than the sum of its proper divisors (206490744).

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

105941376 is a wasteful number, since it uses less digits than its factorization.

105941376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 105941376 is about 10292.7827141158. The cubic root of 105941376 is about 473.1750860714.

The spelling of 105941376 in words is "one hundred five million, nine hundred forty-one thousand, three hundred seventy-six".