105056700 has 144 divisors (see below), whose sum is σ = 365809920. Its totient is φ = 22740480.

The previous prime is 105056659. The next prime is 105056713. The reversal of 105056700 is 7650501.

It is a super-2 number, since 2×105056700² = 22073820429780000, 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 47 ways as a sum of consecutive naturals, for example, 38584 + ... + 41216.

Almost surely, 2^105056700 is an apocalyptic number.

105056700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105056700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182904960).

105056700 is an abundant number, since it is smaller than the sum of its proper divisors (260753220).

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

105056700 is a wasteful number, since it uses less digits than its factorization.

105056700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 105056700 is about 10249.7170692659. The cubic root of 105056700 is about 471.8543012426.

It can be divided in two parts, 10505 and 6700, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 105056700 in words is "one hundred five million, fifty-six thousand, seven hundred".