100515840 has 120 divisors (see below), whose sum is σ = 322427280. Its totient is φ = 26738688.

The previous prime is 100515809. The next prime is 100515841. The reversal of 100515840 is 48515001.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100515840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100515841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245556 + ... + 245964.

It is an arithmetic number, because the mean of its divisors is an integer number (2686894).

Almost surely, 2^100515840 is an apocalyptic number.

100515840 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 100515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161213640).

100515840 is an abundant number, since it is smaller than the sum of its proper divisors (221911440).

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

100515840 is an frugal number, since it uses more digits than its factorization.

100515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 100515840 is about 10025.7588241489. The cubic root of 100515840 is about 464.9556206923.

The spelling of 100515840 in words is "one hundred million, five hundred fifteen thousand, eight hundred forty".