100072779 has 8 divisors (see below), whose sum is σ = 133852560. Its totient is φ = 66504096.

The previous prime is 100072769. The next prime is 100072783. The reversal of 100072779 is 977270001.

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

It is not a de Polignac number, because 100072779 - 2¹⁵ = 100040011 is a prime.

It is a super-2 number, since 2×100072779² = 20029122193565682, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (100072769) 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, 51664 + ... + 53565.

It is an arithmetic number, because the mean of its divisors is an integer number (16731570).

Almost surely, 2^100072779 is an apocalyptic number.

100072779 is a deficient number, since it is larger than the sum of its proper divisors (33779781).

100072779 is a wasteful number, since it uses less digits than its factorization.

100072779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105549.

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 100072779 is about 10003.6382881430. The cubic root of 100072779 is about 464.2714594530.

The spelling of 100072779 in words is "one hundred million, seventy-two thousand, seven hundred seventy-nine".