100072066967 has 8 divisors (see below), whose sum is σ = 105884819760. Its totient is φ = 94313894400.

The previous prime is 100072066951. The next prime is 100072066973. The reversal of 100072066967 is 769660270001.

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 100072066967 - 2⁴ = 100072066951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072066267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13641284 + ... + 13648617.

It is an arithmetic number, because the mean of its divisors is an integer number (13235602470).

Almost surely, 2^100072066967 is an apocalyptic number.

100072066967 is a deficient number, since it is larger than the sum of its proper divisors (5812752793).

100072066967 is a wasteful number, since it uses less digits than its factorization.

100072066967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27290113.

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 100072066967 in words is "one hundred billion, seventy-two million, sixty-six thousand, nine hundred sixty-seven".