100513140 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 20643840.

The previous prime is 100513139. The next prime is 100513157. The reversal of 100513140 is 41315001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 223636 + ... + 224084.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^100513140 is an apocalyptic number.

100513140 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 100513140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

100513140 is an abundant number, since it is smaller than the sum of its proper divisors (255109260).

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

100513140 is a wasteful number, since it uses less digits than its factorization.

100513140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100513140 is about 10025.6241700953. The cubic root of 100513140 is about 464.9514575295.

Adding to 100513140 its reverse (41315001), we get a palindrome (141828141).

The spelling of 100513140 in words is "one hundred million, five hundred thirteen thousand, one hundred forty".