101505680 has 40 divisors (see below), whose sum is σ = 238859712. Its totient is φ = 40110464.

The previous prime is 101505667. The next prime is 101505727. The reversal of 101505680 is 86505101.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1004 + ... + 14283.

Almost surely, 2^101505680 is an apocalyptic number.

101505680 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 101505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119429856).

101505680 is an abundant number, since it is smaller than the sum of its proper divisors (137354032).

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

101505680 is a wasteful number, since it uses less digits than its factorization.

101505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 101505680 is about 10075.0027295282. The cubic root of 101505680 is about 466.4768706652.

The spelling of 101505680 in words is "one hundred one million, five hundred five thousand, six hundred eighty".