10170722500 has 45 divisors (see below), whose sum is σ = 22252368369. Its totient is φ = 4066272000.

The previous prime is 10170722479. The next prime is 10170722519. The reversal of 10170722500 is 522707101.

It is a happy number.

The square root of 10170722500 is 100850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4094208196 + 6076514304 = 63986^2 + 77952^2 .

It is a super-3 number, since 3×10170722500³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5041492 + ... + 5043508.

Almost surely, 2^10170722500 is an apocalyptic number.

10170722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10170722500 is the 100850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10170722500

10170722500 is an abundant number, since it is smaller than the sum of its proper divisors (12081645869).

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

10170722500 is an frugal number, since it uses more digits than its factorization.

10170722500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

Multiplying 10170722500 by its sum of digits (25), we get a square (254268062500 = 504250²).

10170722500 divided by its sum of digits (25) gives a square (406828900 = 20170²).

The spelling of 10170722500 in words is "ten billion, one hundred seventy million, seven hundred twenty-two thousand, five hundred".