100642100 has 36 divisors (see below), whose sum is σ = 235195884. Its totient is φ = 37159680.

The previous prime is 100642079. The next prime is 100642103. The reversal of 100642100 is 1246001.

It can be written as a sum of positive squares in 6 ways, for example, as 11641744 + 89000356 = 3412^2 + 9434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100642103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37409 + ... + 40008.

It is an arithmetic number, because the mean of its divisors is an integer number (6533219).

Almost surely, 2^100642100 is an apocalyptic number.

100642100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100642100 is an abundant number, since it is smaller than the sum of its proper divisors (134553784).

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

100642100 is a wasteful number, since it uses less digits than its factorization.

100642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77444 (or 77437 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100642100 is about 10032.0536282458. The cubic root of 100642100 is about 465.1502193198.

Adding to 100642100 its reverse (1246001), we get a palindrome (101888101).

The spelling of 100642100 in words is "one hundred million, six hundred forty-two thousand, one hundred".