101350656 has 288 divisors, whose sum is σ = 345354240. Its totient is φ = 29030400.

The previous prime is 101350643. The next prime is 101350657. The reversal of 101350656 is 656053101.

It is a happy number.

101350656 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101350657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356971 + ... + 2357013.

Almost surely, 2^101350656 is an apocalyptic number.

101350656 is a gapful number since it is divisible by the number (16) 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 101350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172677120).

101350656 is an abundant number, since it is smaller than the sum of its proper divisors (244003584).

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

101350656 is a wasteful number, since it uses less digits than its factorization.

101350656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 101350656 is about 10067.3062931452. The cubic root of 101350656 is about 466.2392749104.

The spelling of 101350656 in words is "one hundred one million, three hundred fifty thousand, six hundred fifty-six".