15106921200 has 480 divisors, whose sum is σ = 62234667520. Its totient is φ = 3451610880.

The previous prime is 15106921199. The next prime is 15106921231. The reversal of 15106921200 is 212960151.

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 95 ways as a sum of consecutive naturals, for example, 6122367 + ... + 6124833.

Almost surely, 2^15106921200 is an apocalyptic number.

15106921200 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 15106921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31117333760).

15106921200 is an abundant number, since it is smaller than the sum of its proper divisors (47127746320).

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

15106921200 is an equidigital number, since it uses as much as digits as its factorization.

15106921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 15106921200 in words is "fifteen billion, one hundred six million, nine hundred twenty-one thousand, two hundred".