101406760 has 96 divisors (see below), whose sum is σ = 282493440. Its totient is φ = 32078592.

The previous prime is 101406737. The next prime is 101406763. The reversal of 101406760 is 67604101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101406763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46249 + ... + 48391.

It is an arithmetic number, because the mean of its divisors is an integer number (2942640).

Almost surely, 2^101406760 is an apocalyptic number.

101406760 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 101406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141246720).

101406760 is an abundant number, since it is smaller than the sum of its proper divisors (181086680).

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

101406760 is a wasteful number, since it uses less digits than its factorization.

101406760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 101406760 is about 10070.0923531018. The cubic root of 101406760 is about 466.3252900191.

It can be divided in two parts, 10140 and 6760, that added together give a square (16900 = 130²).

The spelling of 101406760 in words is "one hundred one million, four hundred six thousand, seven hundred sixty".