100257079 has 8 divisors (see below), whose sum is σ = 110007072. Its totient is φ = 90798240.

The previous prime is 100257077. The next prime is 100257097. The reversal of 100257079 is 970752001.

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

It is not a de Polignac number, because 100257079 - 2¹ = 100257077 is a prime.

It is a super-2 number, since 2×100257079² = 20102963779224482, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100257079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100257071) 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, 72067 + ... + 73444.

It is an arithmetic number, because the mean of its divisors is an integer number (13750884).

Almost surely, 2^100257079 is an apocalyptic number.

100257079 is a deficient number, since it is larger than the sum of its proper divisors (9749993).

100257079 is a wasteful number, since it uses less digits than its factorization.

100257079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145577.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 100257079 is about 10012.8456994003. The cubic root of 100257079 is about 464.5562946738.

It can be divided in two parts, 1002 and 57079, that added together give a square (58081 = 241²).

The spelling of 100257079 in words is "one hundred million, two hundred fifty-seven thousand, seventy-nine".