101417408 has 56 divisors (see below), whose sum is σ = 212323680. Its totient is φ = 47989760.

The previous prime is 101417389. The next prime is 101417413. The reversal of 101417408 is 804714101.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97853 + ... + 98883.

Almost surely, 2^101417408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106161840).

101417408 is an abundant number, since it is smaller than the sum of its proper divisors (110906272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101417408 is a wasteful number, since it uses less digits than its factorization.

101417408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 101417408 is about 10070.6210334815. The cubic root of 101417408 is about 466.3416112779.

The spelling of 101417408 in words is "one hundred one million, four hundred seventeen thousand, four hundred eight".