102006974157408 has 144 divisors (see below), whose sum is σ = 300916564537680. Its totient is φ = 33992102117376.

The previous prime is 102006974157391. The next prime is 102006974157433. The reversal of 102006974157408 is 804751479600201.

102006974157408 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 69 + 7 + 4 + 1 + 574 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×102006974157408⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 23916016 + ... + 27856592.

It is an arithmetic number, because the mean of its divisors is an integer number (2089698364845).

Almost surely, 2^{102006974157408} is an apocalyptic number.

102006974157408 is a gapful number since it is divisible by the number (18) 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 102006974157408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150458282268840).

102006974157408 is an abundant number, since it is smaller than the sum of its proper divisors (198909590380272).

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

102006974157408 is an equidigital number, since it uses as much as digits as its factorization.

102006974157408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943931 (or 3943911 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 102006974157408 in words is "one hundred two trillion, six billion, nine hundred seventy-four million, one hundred fifty-seven thousand, four hundred eight".