107587280025 has 135 divisors (see below), whose sum is σ = 205865566599. Its totient is φ = 55545678720.

The previous prime is 107587280023. The next prime is 107587280137. The reversal of 107587280025 is 520082785701.

The square root of 107587280025 is 328005.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3100596489 + 104486683536 = 55683^2 + 323244^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 107587280025 - 2¹ = 107587280023 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (107587280023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 546128227 + ... + 546128423.

Almost surely, 2^107587280025 is an apocalyptic number.

107587280025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107587280025 is the 328005-th square number.

107587280025 is the 164003-rd centered octagonal number.

It is an amenable number.

107587280025 is a deficient number, since it is larger than the sum of its proper divisors (98278286574).

107587280025 is an frugal number, since it uses more digits than its factorization.

107587280025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 107587280025 in words is "one hundred seven billion, five hundred eighty-seven million, two hundred eighty thousand, twenty-five".