102111025 has 27 divisors (see below), whose sum is σ = 132447531. Its totient is φ = 78091440.

The previous prime is 102110971. The next prime is 102111029. The reversal of 102111025 is 520111201.

The square root of 102111025 is 10105.

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

It can be written as a sum of positive squares in only one way, i.e., 36759969 + 65351056 = 6063^2 + 8084^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102111025 is a prime.

It is a super-2 number, since 2×102111025² = 20853322853101250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102110996 and 102111014.

It is not an unprimeable number, because it can be changed into a prime (102111029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2172552 + ... + 2172598.

Almost surely, 2^102111025 is an apocalyptic number.

102111025 is the 10105-th square number.

102111025 is the 5053-rd centered octagonal number.

It is an amenable number.

102111025 is a deficient number, since it is larger than the sum of its proper divisors (30336506).

102111025 is an frugal number, since it uses more digits than its factorization.

102111025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The cubic root of 102111025 is about 467.4023359715.

Adding to 102111025 its reverse (520111201), we get a palindrome (622222226).

It can be divided in two parts, 10211 and 1025, that added together give a square (11236 = 106²).

The spelling of 102111025 in words is "one hundred two million, one hundred eleven thousand, twenty-five".