101114496 has 96 divisors (see below), whose sum is σ = 332560800. Its totient is φ = 28887552.

The previous prime is 101114471. The next prime is 101114537. The reversal of 101114496 is 694411101.

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

It is a congruent number.

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, 1795 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (3464175).

Almost surely, 2^101114496 is an apocalyptic number.

101114496 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 101114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166280400).

101114496 is an abundant number, since it is smaller than the sum of its proper divisors (231446304).

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

101114496 is a wasteful number, since it uses less digits than its factorization.

101114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101114496 is about 10055.5703965514. The cubic root of 101114496 is about 465.8768608798.

Adding to 101114496 its reverse (694411101), we get a palindrome (795525597).

The spelling of 101114496 in words is "one hundred one million, one hundred fourteen thousand, four hundred ninety-six".