105002625 has 128 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 41472000.

The previous prime is 105002621. The next prime is 105002641. The reversal of 105002625 is 526200501.

It is not a de Polignac number, because 105002625 - 2² = 105002621 is a prime.

It is a super-2 number, since 2×105002625² = 22051102513781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105002621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 580035 + ... + 580215.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2^105002625 is an apocalyptic number.

105002625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105002625 is an abundant number, since it is smaller than the sum of its proper divisors (123950463).

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

105002625 is a wasteful number, since it uses less digits than its factorization.

105002625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105002625 is about 10247.0788520436. The cubic root of 105002625 is about 471.7733294105.

It can be divided in two parts, 10500 and 2625, that multiplied together give a square (27562500 = 5250²).

The spelling of 105002625 in words is "one hundred five million, two thousand, six hundred twenty-five".