101137920 has 160 divisors (see below), whose sum is σ = 348540192. Its totient is φ = 24870912.

The previous prime is 101137901. The next prime is 101137943. The reversal of 101137920 is 29731101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99334 + ... + 100346.

Almost surely, 2^101137920 is an apocalyptic number.

101137920 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 101137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).

101137920 is an abundant number, since it is smaller than the sum of its proper divisors (247402272).

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

101137920 is a wasteful number, since it uses less digits than its factorization.

101137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 101137920 is about 10056.7350566672. The cubic root of 101137920 is about 465.9128328306.

The spelling of 101137920 in words is "one hundred one million, one hundred thirty-seven thousand, nine hundred twenty".