105378600 has 48 divisors (see below), whose sum is σ = 326675520. Its totient is φ = 28100800.

The previous prime is 105378593. The next prime is 105378673. The reversal of 105378600 is 6873501.

It is a super-2 number, since 2×105378600² = 22209298675920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 87216 + ... + 88415.

It is an arithmetic number, because the mean of its divisors is an integer number (6805740).

Almost surely, 2^105378600 is an apocalyptic number.

105378600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105378600 is an abundant number, since it is smaller than the sum of its proper divisors (221296920).

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

105378600 is a wasteful number, since it uses less digits than its factorization.

105378600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175650 (or 175641 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105378600 is about 10265.4079314950. The cubic root of 105378600 is about 472.3357397733.

The spelling of 105378600 in words is "one hundred five million, three hundred seventy-eight thousand, six hundred".