100401527044 has 81 divisors (see below), whose sum is σ = 221447636991. Its totient is φ = 39696471360.

The previous prime is 100401527027. The next prime is 100401527071. The reversal of 100401527044 is 440725104001.

The square root of 100401527044 is 316862.

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

It can be written as a sum of positive squares in 4 ways, for example, as 83053476100 + 17348050944 = 288190^2 + 131712^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57668014 + ... + 57669754.

Almost surely, 2^100401527044 is an apocalyptic number.

100401527044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100401527044 is the 316862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100401527044

100401527044 is an abundant number, since it is smaller than the sum of its proper divisors (121046109947).

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

100401527044 is an equidigital number, since it uses as much as digits as its factorization.

100401527044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 100401527044 in words is "one hundred billion, four hundred one million, five hundred twenty-seven thousand, forty-four".