101162880 has 384 divisors, whose sum is σ = 432169920. Its totient is φ = 21233664.

The previous prime is 101162879. The next prime is 101162881. The reversal of 101162880 is 88261101.

It is an interprime number because it is at equal distance from previous prime (101162879) and next prime (101162881).

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101162881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524064 + ... + 524256.

Almost surely, 2^101162880 is an apocalyptic number.

101162880 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 101162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216084960).

101162880 is an abundant number, since it is smaller than the sum of its proper divisors (331007040).

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

101162880 is a wasteful number, since it uses less digits than its factorization.

101162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 101162880 is about 10057.9759395218. The cubic root of 101162880 is about 465.9511574860.

It can be divided in two parts, 10116 and 2880, that added together give a square (12996 = 114²).

The spelling of 101162880 in words is "one hundred one million, one hundred sixty-two thousand, eight hundred eighty".