101962896 has 80 divisors (see below), whose sum is σ = 305230464. Its totient is φ = 28726272.

The previous prime is 101962891. The next prime is 101962909. The reversal of 101962896 is 698269101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (101962891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22450 + ... + 26606.

Almost surely, 2^101962896 is an apocalyptic number.

101962896 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 101962896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152615232).

101962896 is an abundant number, since it is smaller than the sum of its proper divisors (203267568).

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

101962896 is a wasteful number, since it uses less digits than its factorization.

101962896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 101962896 is about 10097.6678495581. The cubic root of 101962896 is about 467.1762116883.

The spelling of 101962896 in words is "one hundred one million, nine hundred sixty-two thousand, eight hundred ninety-six".