105251504721 has 16 divisors (see below), whose sum is σ = 153236360640. Its totient is φ = 63729097920.

The previous prime is 105251504713. The next prime is 105251504737. The reversal of 105251504721 is 127405152501.

It is not a de Polignac number, because 105251504721 - 2³ = 105251504713 is a prime.

It is a super-2 number, since 2×105251504721² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105251504921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1456510 + ... + 1527063.

It is an arithmetic number, because the mean of its divisors is an integer number (9577272540).

Almost surely, 2^105251504721 is an apocalyptic number.

105251504721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105251504721 is a deficient number, since it is larger than the sum of its proper divisors (47984855919).

105251504721 is a wasteful number, since it uses less digits than its factorization.

105251504721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984656.

The product of its (nonzero) digits is 14000, while the sum is 33.

The spelling of 105251504721 in words is "one hundred five billion, two hundred fifty-one million, five hundred four thousand, seven hundred twenty-one".