124793108100 has 216 divisors, whose sum is σ = 396296901000. Its totient is φ = 32843335680.

The previous prime is 124793108059. The next prime is 124793108119. The reversal of 124793108100 is 1801397421.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 90277413444 + 34515694656 = 300462^2 + 185784^2 .

It is a super-2 number, since 2×124793108100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26386536 + ... + 26391264.

It is an arithmetic number, because the mean of its divisors is an integer number (1834707875).

Almost surely, 2^124793108100 is an apocalyptic number.

124793108100 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 124793108100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198148450500).

124793108100 is an abundant number, since it is smaller than the sum of its proper divisors (271503792900).

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

124793108100 is a wasteful number, since it uses less digits than its factorization.

124793108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 124793108100 in words is "one hundred twenty-four billion, seven hundred ninety-three million, one hundred eight thousand, one hundred".