101416413 has 16 divisors (see below), whose sum is σ = 154972160. Its totient is φ = 57789936.

The previous prime is 101416409. The next prime is 101416439. The reversal of 101416413 is 314614101.

It is not a de Polignac number, because 101416413 - 2² = 101416409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101416413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101417413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128 + ... + 14286.

It is an arithmetic number, because the mean of its divisors is an integer number (9685760).

Almost surely, 2^101416413 is an apocalyptic number.

It is an amenable number.

101416413 is a deficient number, since it is larger than the sum of its proper divisors (53555747).

101416413 is a wasteful number, since it uses less digits than its factorization.

101416413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13536.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101416413 is about 10070.5716322362. The cubic root of 101416413 is about 466.3400861898.

The spelling of 101416413 in words is "one hundred one million, four hundred sixteen thousand, four hundred thirteen".