10154164564100 has 36 divisors (see below), whose sum is σ = 23194249587600. Its totient is φ = 3847893939360.

The previous prime is 10154164564097. The next prime is 10154164564121. The reversal of 10154164564100 is 146546145101.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 2672146670 + ... + 2672150469.

Almost surely, 2^{10154164564100} is an apocalyptic number.

10154164564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10154164564100 is an abundant number, since it is smaller than the sum of its proper divisors (13040085023500).

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

10154164564100 is a wasteful number, since it uses less digits than its factorization.

10154164564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344297172 (or 5344297165 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 10154164564100 in words is "ten trillion, one hundred fifty-four billion, one hundred sixty-four million, five hundred sixty-four thousand, one hundred".