100451597481 has 27 divisors (see below), whose sum is σ = 150313878039. Its totient is φ = 64640750832.

The previous prime is 100451597459. The next prime is 100451597489. The reversal of 100451597481 is 184795154001.

The square root of 100451597481 is 316941.

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

100451597481 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 51 + 597 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52674381081 + 47777216400 = 229509^2 + 218580^2 .

It is not a de Polignac number, because 100451597481 - 2¹⁵ = 100451564713 is a prime.

It is a super-2 number, since 2×100451597481² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100451597489) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27572046 + ... + 27575688.

Almost surely, 2^100451597481 is an apocalyptic number.

100451597481 is the 316941-st square number.

100451597481 is the 158471-st centered octagonal number.

It is an amenable number.

100451597481 is a deficient number, since it is larger than the sum of its proper divisors (49862280558).

100451597481 is an frugal number, since it uses more digits than its factorization.

100451597481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 100451597481 in words is "one hundred billion, four hundred fifty-one million, five hundred ninety-seven thousand, four hundred eighty-one".