105157104 has 160 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 29061120.

The previous prime is 105157097. The next prime is 105157109. The reversal of 105157104 is 401751501.

It is a super-2 number, since 2×105157104² = 22116033043333632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105157109) by changing a digit.

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, 243769 + ... + 244199.

Almost surely, 2^105157104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105157104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

105157104 is an abundant number, since it is smaller than the sum of its proper divisors (218822160).

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

105157104 is a wasteful number, since it uses less digits than its factorization.

105157104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 105157104 is about 10254.6137908748. The cubic root of 105157104 is about 472.0045723966.

The spelling of 105157104 in words is "one hundred five million, one hundred fifty-seven thousand, one hundred four".