101892240 has 120 divisors (see below), whose sum is σ = 349584768. Its totient is φ = 26584320.

The previous prime is 101892239. The next prime is 101892251. The reversal of 101892240 is 42298101.

It is a tau number, because it is divible by the number of its divisors (120).

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, 32335 + ... + 35345.

Almost surely, 2^101892240 is an apocalyptic number.

101892240 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 101892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174792384).

101892240 is an abundant number, since it is smaller than the sum of its proper divisors (247692528).

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

101892240 is a wasteful number, since it uses less digits than its factorization.

101892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3068 counting only the distinct ones).

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

The square root of 101892240 is about 10094.1686136105. The cubic root of 101892240 is about 467.0682755952.

The spelling of 101892240 in words is "one hundred one million, eight hundred ninety-two thousand, two hundred forty".