101074417 has 16 divisors (see below), whose sum is σ = 106278400. Its totient is φ = 96033600.

The previous prime is 101074411. The next prime is 101074427. The reversal of 101074417 is 714470101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101074417 - 2³ = 101074409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101074391 and 101074400.

It is not an unprimeable number, because it can be changed into a prime (101074411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441259 + ... + 441487.

It is an arithmetic number, because the mean of its divisors is an integer number (6642400).

Almost surely, 2^101074417 is an apocalyptic number.

It is an amenable number.

101074417 is a deficient number, since it is larger than the sum of its proper divisors (5203983).

101074417 is a wasteful number, since it uses less digits than its factorization.

101074417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 101074417 is about 10053.5773235202. The cubic root of 101074417 is about 465.8152991618.

The spelling of 101074417 in words is "one hundred one million, seventy-four thousand, four hundred seventeen".