100052736 has 144 divisors (see below), whose sum is σ = 313173504. Its totient is φ = 27758592.

The previous prime is 100052723. The next prime is 100052753. The reversal of 100052736 is 637250001.

It is a super-4 number, since 4×100052736⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198661 + ... + 199163.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816).

Almost surely, 2^100052736 is an apocalyptic number.

100052736 is a gapful number since it is divisible by the number (16) 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 100052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

100052736 is an abundant number, since it is smaller than the sum of its proper divisors (213120768).

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

100052736 is an equidigital number, since it uses as much as digits as its factorization.

100052736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 100052736 is about 10002.6364524559. The cubic root of 100052736 is about 464.2404619654.

The spelling of 100052736 in words is "one hundred million, fifty-two thousand, seven hundred thirty-six".