10450025100 has 108 divisors (see below), whose sum is σ = 32891618760. Its totient is φ = 2775052800.

The previous prime is 10450025083. The next prime is 10450025123. The reversal of 10450025100 is 152005401.

10450025100 is a `hidden beast` number, since 104 + 50 + 0 + 2 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192811 + ... + 240989.

Almost surely, 2^10450025100 is an apocalyptic number.

10450025100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10450025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445809380).

10450025100 is an abundant number, since it is smaller than the sum of its proper divisors (22441593660).

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

10450025100 is a wasteful number, since it uses less digits than its factorization.

10450025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48440 (or 48430 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

It can be divided in two parts, 104500 and 25100, that added together give a square (129600 = 360²).

The spelling of 10450025100 in words is "ten billion, four hundred fifty million, twenty-five thousand, one hundred".