105657336101400 has 96 divisors (see below), whose sum is σ = 341778513346560. Its totient is φ = 26950277031040.

The previous prime is 105657336101351. The next prime is 105657336101441. The reversal of 105657336101400 is 4101633756501.

It is a happy number.

It is a super-2 number, since 2×105657336101400² (a number of 29 digits) 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 23 ways as a sum of consecutive naturals, for example, 3828150552 + ... + 3828178151.

It is an arithmetic number, because the mean of its divisors is an integer number (3560192847360).

Almost surely, 2^{105657336101400} is an apocalyptic number.

105657336101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105657336101400 is an abundant number, since it is smaller than the sum of its proper divisors (236121177245160).

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

105657336101400 is a wasteful number, since it uses less digits than its factorization.

105657336101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656328745 (or 7656328736 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

Adding to 105657336101400 its reverse (4101633756501), we get a palindrome (109758969857901).

The spelling of 105657336101400 in words is "one hundred five trillion, six hundred fifty-seven billion, three hundred thirty-six million, one hundred one thousand, four hundred".