101234880 has 112 divisors (see below), whose sum is σ = 357164640. Its totient is φ = 26993664.

The previous prime is 101234879. The next prime is 101234897. The reversal of 101234880 is 88432101.

It is a super-2 number, since 2×101234880² = 20497001857228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 2782 + ... + 14498.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 2^101234880 is an apocalyptic number.

101234880 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 101234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

101234880 is an abundant number, since it is smaller than the sum of its proper divisors (255929760).

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

101234880 is a wasteful number, since it uses less digits than its factorization.

101234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101234880 is about 10061.5545518573. The cubic root of 101234880 is about 466.0616740687.

Adding to 101234880 its reverse (88432101), we get a palindrome (189666981).

The spelling of 101234880 in words is "one hundred one million, two hundred thirty-four thousand, eight hundred eighty".