100139760 has 320 divisors, whose sum is σ = 407116800. Its totient is φ = 22146048.

The previous prime is 100139731. The next prime is 100139773. The reversal of 100139760 is 67931001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559351 + ... + 559529.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^100139760 is an apocalyptic number.

100139760 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 100139760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

100139760 is an abundant number, since it is smaller than the sum of its proper divisors (306977040).

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

100139760 is a wasteful number, since it uses less digits than its factorization.

100139760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 100139760 is about 10006.9855600975. The cubic root of 100139760 is about 464.3750188540.

The spelling of 100139760 in words is "one hundred million, one hundred thirty-nine thousand, seven hundred sixty".