101407680 has 336 divisors, whose sum is σ = 397276320. Its totient is φ = 24330240.

The previous prime is 101407661. The next prime is 101407711. The reversal of 101407680 is 86704101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045392 + ... + 1045488.

It is an arithmetic number, because the mean of its divisors is an integer number (1182370).

Almost surely, 2^101407680 is an apocalyptic number.

101407680 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 101407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198638160).

101407680 is an abundant number, since it is smaller than the sum of its proper divisors (295868640).

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

101407680 is a wasteful number, since it uses less digits than its factorization.

101407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101407680 is about 10070.1380328176. The cubic root of 101407680 is about 466.3267002406.

The spelling of 101407680 in words is "one hundred one million, four hundred seven thousand, six hundred eighty".