100640007501 has 32 divisors (see below), whose sum is σ = 149189437440. Its totient is φ = 59830108800.

The previous prime is 100640007449. The next prime is 100640007553. The reversal of 100640007501 is 105700046001.

It is an interprime number because it is at equal distance from previous prime (100640007449) and next prime (100640007553).

It is not a de Polignac number, because 100640007501 - 2⁷ = 100640007373 is a prime.

It is a super-2 number, since 2×100640007501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100640000501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845641 + ... + 957281.

It is an arithmetic number, because the mean of its divisors is an integer number (4662169920).

Almost surely, 2^100640007501 is an apocalyptic number.

100640007501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100640007501 is a deficient number, since it is larger than the sum of its proper divisors (48549429939).

100640007501 is a wasteful number, since it uses less digits than its factorization.

100640007501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112177.

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 100640007501 in words is "one hundred billion, six hundred forty million, seven thousand, five hundred one".