101290896 has 240 divisors, whose sum is σ = 359334144. Its totient is φ = 25952256.

The previous prime is 101290859. The next prime is 101290901. The reversal of 101290896 is 698092101.

It is a super-2 number, since 2×101290896² = 20519691224965632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101290896.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394000 + ... + 394256.

Almost surely, 2^101290896 is an apocalyptic number.

101290896 is a gapful number since it is divisible by the number (16) 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 101290896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179667072).

101290896 is an abundant number, since it is smaller than the sum of its proper divisors (258043248).

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

101290896 is a wasteful number, since it uses less digits than its factorization.

101290896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 101290896 is about 10064.3378321676. The cubic root of 101290896 is about 466.1476197329.

The spelling of 101290896 in words is "one hundred one million, two hundred ninety thousand, eight hundred ninety-six".