123761406100 has 72 divisors (see below), whose sum is σ = 280473298560. Its totient is φ = 47312580480.

The previous prime is 123761406059. The next prime is 123761406101. The reversal of 123761406100 is 1604167321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123761406101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2804809 + ... + 2848591.

It is an arithmetic number, because the mean of its divisors is an integer number (3895462480).

Almost surely, 2^123761406100 is an apocalyptic number.

123761406100 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 123761406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140236649280).

123761406100 is an abundant number, since it is smaller than the sum of its proper divisors (156711892460).

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

123761406100 is a wasteful number, since it uses less digits than its factorization.

123761406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45049 (or 45042 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 123761406100 in words is "one hundred twenty-three billion, seven hundred sixty-one million, four hundred six thousand, one hundred".