105977380 has 24 divisors (see below), whose sum is σ = 223493760. Its totient is φ = 42211680.

The previous prime is 105977357. The next prime is 105977449. The reversal of 105977380 is 83779501.

It is a super-2 number, since 2×105977380² = 22462410143328800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6306 + ... + 15865.

It is an arithmetic number, because the mean of its divisors is an integer number (9312240).

Almost surely, 2^105977380 is an apocalyptic number.

105977380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105977380 is an abundant number, since it is smaller than the sum of its proper divisors (117516380).

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

105977380 is a wasteful number, since it uses less digits than its factorization.

105977380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22419 (or 22417 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 105977380 is about 10294.5315580652. The cubic root of 105977380 is about 473.2286825883.

The spelling of 105977380 in words is "one hundred five million, nine hundred seventy-seven thousand, three hundred eighty".