101697120 has 480 divisors, whose sum is σ = 439084800. Its totient is φ = 21648384.

The previous prime is 101697083. The next prime is 101697131. The reversal of 101697120 is 21796101.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723651 + ... + 1723709.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^101697120 is an apocalyptic number.

101697120 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 101697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

101697120 is an abundant number, since it is smaller than the sum of its proper divisors (337387680).

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

101697120 is a wasteful number, since it uses less digits than its factorization.

101697120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 101697120 is about 10084.4989959839. The cubic root of 101697120 is about 466.7699453955.

The spelling of 101697120 in words is "one hundred one million, six hundred ninety-seven thousand, one hundred twenty".