10187874225 has 45 divisors (see below), whose sum is σ = 18879882043. Its totient is φ = 5431110480.

The previous prime is 10187874211. The next prime is 10187874239. The reversal of 10187874225 is 52247878101.

The square root of 10187874225 is 100935.

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

It is an interprime number because it is at equal distance from previous prime (10187874211) and next prime (10187874239).

It can be written as a sum of positive squares in only one way, i.e., 3667634721 + 6520239504 = 60561^2 + 80748^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10187874225 - 2¹³ = 10187866033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4540954 + ... + 4543196.

Almost surely, 2^10187874225 is an apocalyptic number.

10187874225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10187874225 is the 100935-th square number.

10187874225 is the 50468-th centered octagonal number.

It is an amenable number.

10187874225 is a deficient number, since it is larger than the sum of its proper divisors (8692007818).

10187874225 is an frugal number, since it uses more digits than its factorization.

10187874225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 10187874225 in words is "ten billion, one hundred eighty-seven million, eight hundred seventy-four thousand, two hundred twenty-five".