100515420 has 72 divisors (see below), whose sum is σ = 307367424. Its totient is φ = 26587008.

The previous prime is 100515403. The next prime is 100515433. The reversal of 100515420 is 24515001.

It is a super-3 number, since 3×100515420³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100515393 and 100515402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20662 + ... + 25058.

It is an arithmetic number, because the mean of its divisors is an integer number (4268992).

Almost surely, 2^100515420 is an apocalyptic number.

100515420 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 100515420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153683712).

100515420 is an abundant number, since it is smaller than the sum of its proper divisors (206852004).

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

100515420 is a wasteful number, since it uses less digits than its factorization.

100515420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100515420 is about 10025.7378780816. The cubic root of 100515420 is about 464.9549730941.

The spelling of 100515420 in words is "one hundred million, five hundred fifteen thousand, four hundred twenty".