100572893641 has 8 divisors (see below), whose sum is σ = 109718426304. Its totient is φ = 91427784720.

The previous prime is 100572893609. The next prime is 100572893669. The reversal of 100572893641 is 146398275001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100572893641 - 2⁵ = 100572893609 is a prime.

It is a super-2 number, since 2×100572893641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100572893591 and 100572893600.

It is not an unprimeable number, because it can be changed into a prime (100572893041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588015 + ... + 739531.

It is an arithmetic number, because the mean of its divisors is an integer number (13714803288).

It is a 1-persistent number, because it is pandigital, but 2⋅100572893641 = 201145787282 is not.

Almost surely, 2^100572893641 is an apocalyptic number.

100572893641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100572893641 is a deficient number, since it is larger than the sum of its proper divisors (9145532663).

100572893641 is a wasteful number, since it uses less digits than its factorization.

100572893641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211871.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 100572893641 in words is "one hundred billion, five hundred seventy-two million, eight hundred ninety-three thousand, six hundred forty-one".