100084085731 has 16 divisors (see below), whose sum is σ = 114577170624. Its totient is φ = 85639970304.

The previous prime is 100084085623. The next prime is 100084085741. The reversal of 100084085731 is 137580480001.

It is not a de Polignac number, because 100084085731 - 2¹³ = 100084077539 is a prime.

It is a super-2 number, since 2×100084085731² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100084085741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12517471 + ... + 12525463.

It is an arithmetic number, because the mean of its divisors is an integer number (7161073164).

Almost surely, 2^100084085731 is an apocalyptic number.

100084085731 is a deficient number, since it is larger than the sum of its proper divisors (14493084893).

100084085731 is an equidigital number, since it uses as much as digits as its factorization.

100084085731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10830.

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 100084085731 in words is "one hundred billion, eighty-four million, eighty-five thousand, seven hundred thirty-one".