105087924 has 18 divisors (see below), whose sum is σ = 265639010. Its totient is φ = 35029296.

The previous prime is 105087919. The next prime is 105087929. The reversal of 105087924 is 429780501.

It is an interprime number because it is at equal distance from previous prime (105087919) and next prime (105087929).

It can be written as a sum of positive squares in only one way, i.e., 89643024 + 15444900 = 9468^2 + 3930^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105087924² = 22086943541259552, which contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2919109 = 105087924 / (1 + 0 + 5 + 0 + 8 + 7 + 9 + 2 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105087929) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459519 + ... + 1459590.

Almost surely, 2^105087924 is an apocalyptic number.

It is an amenable number.

105087924 is an abundant number, since it is smaller than the sum of its proper divisors (160551086).

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

105087924 is a wasteful number, since it uses less digits than its factorization.

105087924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919119 (or 2919114 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105087924 is about 10251.2401201025. The cubic root of 105087924 is about 471.9010433647.

The spelling of 105087924 in words is "one hundred five million, eighty-seven thousand, nine hundred twenty-four".