101866496 has 44 divisors (see below), whose sum is σ = 210267840. Its totient is φ = 49274880.

The previous prime is 101866489. The next prime is 101866511. The reversal of 101866496 is 694668101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30140 + ... + 33348.

Almost surely, 2^101866496 is an apocalyptic number.

101866496 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 101866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105133920).

101866496 is an abundant number, since it is smaller than the sum of its proper divisors (108401344).

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

101866496 is an equidigital number, since it uses as much as digits as its factorization.

101866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 101866496 is about 10092.8933413566. The cubic root of 101866496 is about 467.0289359343.

The spelling of 101866496 in words is "one hundred one million, eight hundred sixty-six thousand, four hundred ninety-six".