123555376100 has 108 divisors (see below), whose sum is σ = 307404598284. Its totient is φ = 42936791040.

The previous prime is 123555376099. The next prime is 123555376123. The reversal of 123555376100 is 1673555321.

It can be written as a sum of positive squares in 18 ways, for example, as 122761939876 + 793436224 = 350374^2 + 28168^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 72272 + ... + 502328.

It is an arithmetic number, because the mean of its divisors is an integer number (2846338873).

Almost surely, 2^123555376100 is an apocalyptic number.

123555376100 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 123555376100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153702299142).

123555376100 is an abundant number, since it is smaller than the sum of its proper divisors (183849222184).

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

123555376100 is a wasteful number, since it uses less digits than its factorization.

123555376100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430114 (or 430094 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 38.

The spelling of 123555376100 in words is "one hundred twenty-three billion, five hundred fifty-five million, three hundred seventy-six thousand, one hundred".