101696400 has 360 divisors, whose sum is σ = 396677736. Its totient is φ = 23961600.

The previous prime is 101696369. The next prime is 101696401. The reversal of 101696400 is 4696101.

101696400 is a `hidden beast` number, since 1 + 0 + 16 + 9 + 640 + 0 = 666.

101696400 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 12 ways, for example, as 62157456 + 39538944 = 7884^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101696401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1918774 + ... + 1918826.

Almost surely, 2^101696400 is an apocalyptic number.

101696400 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 101696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198338868).

101696400 is an abundant number, since it is smaller than the sum of its proper divisors (294981336).

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

101696400 is a wasteful number, since it uses less digits than its factorization.

101696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101696400 is about 10084.4632975682. The cubic root of 101696400 is about 466.7688438397.

The spelling of 101696400 in words is "one hundred one million, six hundred ninety-six thousand, four hundred".