101894040 has 96 divisors (see below), whose sum is σ = 332514000. Its totient is φ = 27060480.

The previous prime is 101894029. The next prime is 101894063. The reversal of 101894040 is 40498101.

It is a junction number, because it is equal to n+sod(n) for n = 101893995 and 101894013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125235 + ... + 126045.

Almost surely, 2^101894040 is an apocalyptic number.

101894040 is a gapful number since it is divisible by the number (10) 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 101894040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166257000).

101894040 is an abundant number, since it is smaller than the sum of its proper divisors (230619960).

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

101894040 is a wasteful number, since it uses less digits than its factorization.

101894040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101894040 is about 10094.2577736057. The cubic root of 101894040 is about 467.0710259451.

The spelling of 101894040 in words is "one hundred one million, eight hundred ninety-four thousand, forty".