101296416 has 96 divisors (see below), whose sum is σ = 298892160. Its totient is φ = 29804544.

The previous prime is 101296381. The next prime is 101296423. The reversal of 101296416 is 614692101.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 26940 + ... + 30468.

It is an arithmetic number, because the mean of its divisors is an integer number (3113460).

Almost surely, 2^101296416 is an apocalyptic number.

101296416 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 101296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149446080).

101296416 is an abundant number, since it is smaller than the sum of its proper divisors (197595744).

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

101296416 is a wasteful number, since it uses less digits than its factorization.

101296416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 101296416 is about 10064.6120640589. The cubic root of 101296416 is about 466.1560873847.

The spelling of 101296416 in words is "one hundred one million, two hundred ninety-six thousand, four hundred sixteen".