106457760 has 192 divisors, whose sum is σ = 392515200. Its totient is φ = 26873856.

The previous prime is 106457719. The next prime is 106457789. The reversal of 106457760 is 67754601.

106457760 is a `hidden beast` number, since 1 + 0 + 645 + 7 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×106457760² = 22666509328435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 81432 + ... + 82728.

It is an arithmetic number, because the mean of its divisors is an integer number (2044350).

Almost surely, 2^106457760 is an apocalyptic number.

106457760 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 106457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196257600).

106457760 is an abundant number, since it is smaller than the sum of its proper divisors (286057440).

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

106457760 is a wasteful number, since it uses less digits than its factorization.

106457760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106457760 is about 10317.8369826238. The cubic root of 106457760 is about 473.9426304545.

The spelling of 106457760 in words is "one hundred six million, four hundred fifty-seven thousand, seven hundred sixty".