101874960 has 240 divisors, whose sum is σ = 393456960. Its totient is φ = 23362560.

The previous prime is 101874953. The next prime is 101874961. The reversal of 101874960 is 69478101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101874961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150142 + ... + 150818.

It is an arithmetic number, because the mean of its divisors is an integer number (1639404).

Almost surely, 2^101874960 is an apocalyptic number.

101874960 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 101874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196728480).

101874960 is an abundant number, since it is smaller than the sum of its proper divisors (291582000).

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

101874960 is a wasteful number, since it uses less digits than its factorization.

101874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101874960 is about 10093.3126375834. The cubic root of 101874960 is about 467.0418705876.

The spelling of 101874960 in words is "one hundred one million, eight hundred seventy-four thousand, nine hundred sixty".