105677071400 has 48 divisors (see below), whose sum is σ = 245753346300. Its totient is φ = 42261511680.

The previous prime is 105677071393. The next prime is 105677071433. The reversal of 105677071400 is 4170776501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16200707524 + 89476363876 = 127282^2 + 299126^2 .

It is a super-2 number, since 2×105677071400² (a number of 23 digits) contains 22 as substring.

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, 889934 + ... + 1001666.

Almost surely, 2^105677071400 is an apocalyptic number.

105677071400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105677071400 is an abundant number, since it is smaller than the sum of its proper divisors (140076274900).

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

105677071400 is a wasteful number, since it uses less digits than its factorization.

105677071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116478 (or 116469 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The spelling of 105677071400 in words is "one hundred five billion, six hundred seventy-seven million, seventy-one thousand, four hundred".