101966160 has 160 divisors (see below), whose sum is σ = 339264000. Its totient is φ = 25256448.

The previous prime is 101966147. The next prime is 101966173. The reversal of 101966160 is 61669101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101966147) and next prime (101966173).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268851 + ... + 269229.

It is an arithmetic number, because the mean of its divisors is an integer number (2120400).

Almost surely, 2^101966160 is an apocalyptic number.

101966160 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 101966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632000).

101966160 is an abundant number, since it is smaller than the sum of its proper divisors (237297840).

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

101966160 is a wasteful number, since it uses less digits than its factorization.

101966160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 101966160 is about 10097.8294697425. The cubic root of 101966160 is about 467.1811966614.

The spelling of 101966160 in words is "one hundred one million, nine hundred sixty-six thousand, one hundred sixty".