101364480 has 288 divisors, whose sum is σ = 412070400. Its totient is φ = 23113728.

The previous prime is 101364469. The next prime is 101364481. The reversal of 101364480 is 84463101.

101364480 is a `hidden beast` number, since 1 + 0 + 13 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101364481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241711 + ... + 242129.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2^101364480 is an apocalyptic number.

101364480 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 101364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

101364480 is an abundant number, since it is smaller than the sum of its proper divisors (310705920).

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

101364480 is an equidigital number, since it uses as much as digits as its factorization.

101364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101364480 is about 10067.9928486268. The cubic root of 101364480 is about 466.2604719405.

The spelling of 101364480 in words is "one hundred one million, three hundred sixty-four thousand, four hundred eighty".