100952042148 has 60 divisors (see below), whose sum is σ = 265061213340. Its totient is φ = 33503709888.

The previous prime is 100952042141. The next prime is 100952042153. The reversal of 100952042148 is 841240259001.

100952042148 is a `hidden beast` number, since 100 + 9 + 520 + 4 + 21 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39927233124 + 61024809024 = 199818^2 + 247032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100952042141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 606111 + ... + 754502.

It is an arithmetic number, because the mean of its divisors is an integer number (4417686889).

Almost surely, 2^100952042148 is an apocalyptic number.

100952042148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100952042148 is an abundant number, since it is smaller than the sum of its proper divisors (164109171192).

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

100952042148 is a wasteful number, since it uses less digits than its factorization.

100952042148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360858 (or 1360847 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 100952042148 in words is "one hundred billion, nine hundred fifty-two million, forty-two thousand, one hundred forty-eight".