101498880 has 240 divisors, whose sum is σ = 377475840. Its totient is φ = 22806528.

The previous prime is 101498863. The next prime is 101498899. The reversal of 101498880 is 88894101.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1720291 + ... + 1720349.

It is an arithmetic number, because the mean of its divisors is an integer number (1572816).

Almost surely, 2^101498880 is an apocalyptic number.

101498880 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 101498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188737920).

101498880 is an abundant number, since it is smaller than the sum of its proper divisors (275976960).

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

101498880 is an frugal number, since it uses more digits than its factorization.

101498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 101498880 is about 10074.6652549849. The cubic root of 101498880 is about 466.4664537980.

It can be divided in two parts, 101498 and 880, that added together give a triangular number (102378 = T₄₅₂).

The spelling of 101498880 in words is "one hundred one million, four hundred ninety-eight thousand, eight hundred eighty".