100551604961280 has 2592 divisors, whose sum is σ = 399797451793152. Its totient is φ = 21477856378880.

The previous prime is 100551604961239. The next prime is 100551604961321. The reversal of 100551604961280 is 82169406155001.

It is an interprime number because it is at equal distance from previous prime (100551604961239) and next prime (100551604961321).

It is a super-2 number, since 2×100551604961280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2139395850217 + ... + 2139395850263.

It is an arithmetic number, because the mean of its divisors is an integer number (154242844056).

Almost surely, 2^{100551604961280} is an apocalyptic number.

100551604961280 is a gapful number since it is divisible by the number (10) 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 100551604961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199898725896576).

100551604961280 is an abundant number, since it is smaller than the sum of its proper divisors (299245846831872).

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

100551604961280 is an equidigital number, since it uses as much as digits as its factorization.

100551604961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 100551604961280 in words is "one hundred trillion, five hundred fifty-one billion, six hundred four million, nine hundred sixty-one thousand, two hundred eighty".