101906880 has 224 divisors, whose sum is σ = 352104960. Its totient is φ = 24883200.

The previous prime is 101906873. The next prime is 101906897. The reversal of 101906880 is 88609101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674805 + ... + 674955.

Almost surely, 2^101906880 is an apocalyptic number.

101906880 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 101906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176052480).

101906880 is an abundant number, since it is smaller than the sum of its proper divisors (250198080).

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

101906880 is a wasteful number, since it uses less digits than its factorization.

101906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 101906880 is about 10094.8937587277. The cubic root of 101906880 is about 467.0906441684.

The spelling of 101906880 in words is "one hundred one million, nine hundred six thousand, eight hundred eighty".