101963904 has 96 divisors (see below), whose sum is σ = 315118800. Its totient is φ = 29127168.

The previous prime is 101963839. The next prime is 101963959. The reversal of 101963904 is 409369101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16107 + ... + 21525.

Almost surely, 2^101963904 is an apocalyptic number.

101963904 is a gapful number since it is divisible by the number (14) 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 101963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157559400).

101963904 is an abundant number, since it is smaller than the sum of its proper divisors (213154896).

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

101963904 is an equidigital number, since it uses as much as digits as its factorization.

101963904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 101963904 is about 10097.7177619500. The cubic root of 101963904 is about 467.1777511767.

The spelling of 101963904 in words is "one hundred one million, nine hundred sixty-three thousand, nine hundred four".