105157200 has 60 divisors (see below), whose sum is σ = 336857408. Its totient is φ = 28041600.

The previous prime is 105157193. The next prime is 105157243. The reversal of 105157200 is 2751501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105157200² = 22116073423680000, which contains 22 as substring.

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, 42616 + ... + 45015.

Almost surely, 2^105157200 is an apocalyptic number.

105157200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105157200 is an abundant number, since it is smaller than the sum of its proper divisors (231700208).

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

105157200 is a wasteful number, since it uses less digits than its factorization.

105157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87652 (or 87641 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 105157200 is about 10254.6184716936. The cubic root of 105157200 is about 472.0047160306.

The spelling of 105157200 in words is "one hundred five million, one hundred fifty-seven thousand, two hundred".