104981520 has 240 divisors, whose sum is σ = 386760960. Its totient is φ = 23482368.

The previous prime is 104981509. The next prime is 104981567. The reversal of 104981520 is 25189401.

It is a happy number.

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

It is a super-2 number, since 2×104981520² = 22042239083020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 928984 + ... + 929096.

It is an arithmetic number, because the mean of its divisors is an integer number (1611504).

Almost surely, 2^104981520 is an apocalyptic number.

104981520 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 104981520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380480).

104981520 is an abundant number, since it is smaller than the sum of its proper divisors (281779440).

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

104981520 is a wasteful number, since it uses less digits than its factorization.

104981520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 104981520 is about 10246.0489946125. The cubic root of 104981520 is about 471.7417192698.

It can be divided in two parts, 104981 and 520, that added together give a palindrome (105501).

The spelling of 104981520 in words is "one hundred four million, nine hundred eighty-one thousand, five hundred twenty".