101950560 has 144 divisors (see below), whose sum is σ = 352510704. Its totient is φ = 26827776.

The previous prime is 101950553. The next prime is 101950579. The reversal of 101950560 is 65059101.

101950560 is a `hidden beast` number, since 10 + 1 + 95 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119094 + ... + 119946.

It is an arithmetic number, because the mean of its divisors is an integer number (2447991).

Almost surely, 2^101950560 is an apocalyptic number.

101950560 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 101950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176255352).

101950560 is an abundant number, since it is smaller than the sum of its proper divisors (250560144).

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

101950560 is a wasteful number, since it uses less digits than its factorization.

101950560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 101950560 is about 10097.0569969670. The cubic root of 101950560 is about 467.1573704614.

The spelling of 101950560 in words is "one hundred one million, nine hundred fifty thousand, five hundred sixty".