101455920 has 240 divisors, whose sum is σ = 363860640. Its totient is φ = 25288704.

The previous prime is 101455903. The next prime is 101455943. The reversal of 101455920 is 29554101.

101455920 is a `hidden beast` number, since 101 + 4 + 559 + 2 + 0 = 666.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897784 + ... + 897896.

It is an arithmetic number, because the mean of its divisors is an integer number (1516086).

Almost surely, 2^101455920 is an apocalyptic number.

101455920 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 101455920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).

101455920 is an abundant number, since it is smaller than the sum of its proper divisors (262404720).

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

101455920 is a wasteful number, since it uses less digits than its factorization.

101455920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 101455920 is about 10072.5329485686. The cubic root of 101455920 is about 466.4006329509.

The spelling of 101455920 in words is "one hundred one million, four hundred fifty-five thousand, nine hundred twenty".