105057990 has 96 divisors (see below), whose sum is σ = 284461632. Its totient is φ = 26880000.

The previous prime is 105057989. The next prime is 105057991. The reversal of 105057990 is 99750501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105057989) and next prime (105057991).

It is a super-2 number, since 2×105057990² = 22074362525680200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105057991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261790 + ... + 262190.

It is an arithmetic number, because the mean of its divisors is an integer number (2963142).

Almost surely, 2^105057990 is an apocalyptic number.

105057990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105057990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142230816).

105057990 is an abundant number, since it is smaller than the sum of its proper divisors (179403642).

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

105057990 is a wasteful number, since it uses less digits than its factorization.

105057990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 105057990 is about 10249.7799976390. The cubic root of 105057990 is about 471.8562325475.

The spelling of 105057990 in words is "one hundred five million, fifty-seven thousand, nine hundred ninety".