105355900 has 36 divisors (see below), whose sum is σ = 246211672. Its totient is φ = 38900160.

The previous prime is 105355867. The next prime is 105355907. The reversal of 105355900 is 9553501.

It is a super-2 number, since 2×105355900² = 22199731329620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39222 + ... + 41821.

Almost surely, 2^105355900 is an apocalyptic number.

105355900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105355900 is an abundant number, since it is smaller than the sum of its proper divisors (140855772).

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

105355900 is a wasteful number, since it uses less digits than its factorization.

105355900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81070 (or 81063 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 28.

The square root of 105355900 is about 10264.3022169069. The cubic root of 105355900 is about 472.3018214658.

It can be divided in two parts, 1053 and 55900, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 105355900 in words is "one hundred five million, three hundred fifty-five thousand, nine hundred".