100626120 has 192 divisors, whose sum is σ = 379566720. Its totient is φ = 22643712.

The previous prime is 100626101. The next prime is 100626139. The reversal of 100626120 is 21626001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100626101) and next prime (100626139).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100626093 and 100626102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183687 + ... + 184233.

It is an arithmetic number, because the mean of its divisors is an integer number (1976910).

Almost surely, 2^100626120 is an apocalyptic number.

100626120 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 100626120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189783360).

100626120 is an abundant number, since it is smaller than the sum of its proper divisors (278940600).

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

100626120 is a wasteful number, since it uses less digits than its factorization.

100626120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100626120 is about 10031.2571495302. The cubic root of 100626120 is about 465.1255990931.

The spelling of 100626120 in words is "one hundred million, six hundred twenty-six thousand, one hundred twenty".