103861356060672 has 1568 divisors, whose sum is σ = 383482422385920. Its totient is φ = 27450031472640.

The previous prime is 103861356060667. The next prime is 103861356060731. The reversal of 103861356060672 is 276060653168301.

103861356060672 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 1 + 3 + 560 + 6 + 0 + 6 + 72 = 666.

It is a super-2 number, since 2×103861356060672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34153683472 + ... + 34153686512.

Almost surely, 2^{103861356060672} is an apocalyptic number.

103861356060672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103861356060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191741211192960).

103861356060672 is an abundant number, since it is smaller than the sum of its proper divisors (279621066325248).

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

103861356060672 is an frugal number, since it uses more digits than its factorization.

103861356060672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 103861356060672 in words is "one hundred three trillion, eight hundred sixty-one billion, three hundred fifty-six million, sixty thousand, six hundred seventy-two".