105496380 has 72 divisors (see below), whose sum is σ = 349103664. Its totient is φ = 25574400.

The previous prime is 105496343. The next prime is 105496399. The reversal of 105496380 is 83694501.

105496380 is a `hidden beast` number, since 10 + 5 + 4 + 9 + 638 + 0 = 666.

It is a super-2 number, since 2×105496380² = 22258972386208800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24661 + ... + 28620.

It is an arithmetic number, because the mean of its divisors is an integer number (4848662).

Almost surely, 2^105496380 is an apocalyptic number.

105496380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105496380 is an abundant number, since it is smaller than the sum of its proper divisors (243607284).

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

105496380 is a wasteful number, since it uses less digits than its factorization.

105496380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53307 (or 53302 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105496380 is about 10271.1430717326. The cubic root of 105496380 is about 472.5116483229.

The spelling of 105496380 in words is "one hundred five million, four hundred ninety-six thousand, three hundred eighty".