100726200 has 192 divisors, whose sum is σ = 362476800. Its totient is φ = 25660800.

The previous prime is 100726169. The next prime is 100726229. The reversal of 100726200 is 2627001.

It is a happy number.

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

It is a congruent number.

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, 123795 + ... + 124605.

It is an arithmetic number, because the mean of its divisors is an integer number (1887900).

Almost surely, 2^100726200 is an apocalyptic number.

100726200 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 100726200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181238400).

100726200 is an abundant number, since it is smaller than the sum of its proper divisors (261750600).

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

100726200 is a wasteful number, since it uses less digits than its factorization.

100726200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100726200 is about 10036.2443174725. The cubic root of 100726200 is about 465.2797484203.

The spelling of 100726200 in words is "one hundred million, seven hundred twenty-six thousand, two hundred".