101083392 has 108 divisors (see below), whose sum is σ = 295932364. Its totient is φ = 33177600.

The previous prime is 101083387. The next prime is 101083393. The reversal of 101083392 is 293380101.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 28901376 = 8496^2 + 5376^2 .

It is not an unprimeable number, because it can be changed into a prime (101083393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167892 + ... + 168492.

Almost surely, 2^101083392 is an apocalyptic number.

101083392 is a gapful number since it is divisible by the number (12) 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 101083392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147966182).

101083392 is an abundant number, since it is smaller than the sum of its proper divisors (194848972).

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

101083392 is an equidigital number, since it uses as much as digits as its factorization.

101083392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101083392 is about 10054.0236721424. The cubic root of 101083392 is about 465.8290862595.

It can be divided in two parts, 101083 and 392, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 101083392 in words is "one hundred one million, eighty-three thousand, three hundred ninety-two".