42674732108100 has 243 divisors, whose sum is σ = 142103841920677. Its totient is φ = 10709684828160.

The previous prime is 42674732108009. The next prime is 42674732108161. The reversal of 42674732108100 is 180123747624.

The square root of 42674732108100 is 6532590.

It is a perfect power (a square), and thus also a powerful number.

42674732108100 is a `hidden beast` number, since 4 + 2 + 67 + 473 + 2 + 10 + 8 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 22862761376004 + 19811970732096 = 4781502^2 + 4451064^2 .

It is a super-2 number, since 2×42674732108100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3331614496 + ... + 3331627304.

Almost surely, 2^{42674732108100} is an apocalyptic number.

42674732108100 is the 6532590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42674732108100

42674732108100 is an abundant number, since it is smaller than the sum of its proper divisors (99429109812577).

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

42674732108100 is a wasteful number, since it uses less digits than its factorization.

42674732108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25672 (or 12836 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 42674732108100 in words is "forty-two trillion, six hundred seventy-four billion, seven hundred thirty-two million, one hundred eight thousand, one hundred".