2151604556100 has 108 divisors (see below), whose sum is σ = 6746190414964. Its totient is φ = 573582090240.

The previous prime is 2151604556089. The next prime is 2151604556111. The reversal of 2151604556100 is 16554061512.

2151604556100 is a `hidden beast` number, since 2 + 1 + 51 + 6 + 0 + 45 + 561 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2151604556089) and next prime (2151604556111).

It can be written as a sum of positive squares in 6 ways, for example, as 28359233604 + 2123245322496 = 168402^2 + 1457136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2523732 + ... + 3266868.

Almost surely, 2^{2151604556100} is an apocalyptic number.

2151604556100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151604556100 is an abundant number, since it is smaller than the sum of its proper divisors (4594585858864).

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

2151604556100 is a wasteful number, since it uses less digits than its factorization.

2151604556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746374 (or 746364 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 2151604556100 in words is "two trillion, one hundred fifty-one billion, six hundred four million, five hundred fifty-six thousand, one hundred".