101195640 has 192 divisors, whose sum is σ = 404913600. Its totient is φ = 21344256.

The previous prime is 101195617. The next prime is 101195663. The reversal of 101195640 is 46591101.

101195640 is a `hidden beast` number, since 1 + 0 + 1 + 19 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (101195617) and next prime (101195663).

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, 31216 + ... + 34304.

It is an arithmetic number, because the mean of its divisors is an integer number (2108925).

Almost surely, 2^101195640 is an apocalyptic number.

101195640 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 101195640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202456800).

101195640 is an abundant number, since it is smaller than the sum of its proper divisors (303717960).

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

101195640 is a wasteful number, since it uses less digits than its factorization.

101195640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101195640 is about 10059.6043659778. The cubic root of 101195640 is about 466.0014490306.

The spelling of 101195640 in words is "one hundred one million, one hundred ninety-five thousand, six hundred forty".