101961408 has 56 divisors (see below), whose sum is σ = 270694912. Its totient is φ = 33871104.

The previous prime is 101961407. The next prime is 101961413. The reversal of 101961408 is 804169101.

It is a super-2 number, since 2×101961408² = 20792257442684928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101961401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69741 + ... + 71187.

Almost surely, 2^101961408 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 101961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135347456).

101961408 is an abundant number, since it is smaller than the sum of its proper divisors (168733504).

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

101961408 is a wasteful number, since it uses less digits than its factorization.

101961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 101961408 is about 10097.5941689097. The cubic root of 101961408 is about 467.1739390918.

The spelling of 101961408 in words is "one hundred one million, nine hundred sixty-one thousand, four hundred eight".