103667900625 has 165 divisors, whose sum is σ = 198049493719. Its totient is φ = 54246348000.

The previous prime is 103667900593. The next prime is 103667900647. The reversal of 103667900625 is 526009766301.

The square root of 103667900625 is 321975.

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

103667900625 is a `hidden beast` number, since 10 + 3 + 6 + 6 + 7 + 9 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 57523705281 + 46144195344 = 239841^2 + 214812^2 .

It is not a de Polignac number, because 103667900625 - 2⁵ = 103667900593 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 164 ways as a sum of consecutive naturals, for example, 1955998099 + ... + 1955998151.

Almost surely, 2^103667900625 is an apocalyptic number.

103667900625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103667900625 is the 321975-th square number.

103667900625 is the 160988-th centered octagonal number.

It is an amenable number.

103667900625 is a deficient number, since it is larger than the sum of its proper divisors (94381593094).

103667900625 is an frugal number, since it uses more digits than its factorization.

103667900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 103667900625 in words is "one hundred three billion, six hundred sixty-seven million, nine hundred thousand, six hundred twenty-five".