100056407 has 8 divisors (see below), whose sum is σ = 115573392. Its totient is φ = 85609600.

The previous prime is 100056403. The next prime is 100056419. The reversal of 100056407 is 704650001.

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 100056407 - 2² = 100056403 is a prime.

It is a super-4 number, since 4×100056407⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100056401) 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, 267344 + ... + 267717.

It is an arithmetic number, because the mean of its divisors is an integer number (14446674).

Almost surely, 2^100056407 is an apocalyptic number.

100056407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100056407 is a deficient number, since it is larger than the sum of its proper divisors (15516985).

100056407 is a wasteful number, since it uses less digits than its factorization.

100056407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535089.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 100056407 is about 10002.8199523934. The cubic root of 100056407 is about 464.2461396576.

The spelling of 100056407 in words is "one hundred million, fifty-six thousand, four hundred seven".