101862144 has 72 divisors (see below), whose sum is σ = 301244720. Its totient is φ = 33951744.

The previous prime is 101862127. The next prime is 101862157. The reversal of 101862144 is 441268101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 14280.

Almost surely, 2^101862144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150622360).

101862144 is an abundant number, since it is smaller than the sum of its proper divisors (199382576).

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

101862144 is an equidigital number, since it uses as much as digits as its factorization.

101862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14742 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101862144 is about 10092.6777418087. The cubic root of 101862144 is about 467.0222849452.

The spelling of 101862144 in words is "one hundred one million, eight hundred sixty-two thousand, one hundred forty-four".