101067408 has 90 divisors (see below), whose sum is σ = 306353346. Its totient is φ = 31090176.

The previous prime is 101067401. The next prime is 101067427. The reversal of 101067408 is 804760101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10969344 + 90098064 = 3312^2 + 9492^2 .

It is not an unprimeable number, because it can be changed into a prime (101067401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22260 + ... + 26412.

Almost surely, 2^101067408 is an apocalyptic number.

101067408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101067408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153176673).

101067408 is an abundant number, since it is smaller than the sum of its proper divisors (205285938).

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

101067408 is a wasteful number, since it uses less digits than its factorization.

101067408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101067408 is about 10053.2287350880. The cubic root of 101067408 is about 465.8045316007.

It can be divided in two parts, 101067 and 408, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 101067408 in words is "one hundred one million, sixty-seven thousand, four hundred eight".