100977407 has 8 divisors (see below), whose sum is σ = 102944160. Its totient is φ = 99025920.

The previous prime is 100977377. The next prime is 100977431. The reversal of 100977407 is 704779001.

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 100977407 - 2¹² = 100973311 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 (100977607) 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, 10019 + ... + 17387.

It is an arithmetic number, because the mean of its divisors is an integer number (12868020).

Almost surely, 2^100977407 is an apocalyptic number.

100977407 is a deficient number, since it is larger than the sum of its proper divisors (1966753).

100977407 is an equidigital number, since it uses as much as digits as its factorization.

100977407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7633.

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 100977407 is about 10048.7515144917. The cubic root of 100977407 is about 465.6662234992. Note that the first 3 decimals are identical.

The spelling of 100977407 in words is "one hundred million, nine hundred seventy-seven thousand, four hundred seven".