107153000 has 64 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 42312000.

The previous prime is 107152979. The next prime is 107153047. The reversal of 107153000 is 351701.

It is a super-2 number, since 2×107153000² = 22963530818000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107153000.

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 15 ways as a sum of consecutive naturals, for example, 82355 + ... + 83645.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^107153000 is an apocalyptic number.

107153000 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 107153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

107153000 is an abundant number, since it is smaller than the sum of its proper divisors (146802520).

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

107153000 is a wasteful number, since it uses less digits than its factorization.

107153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 107153000 is about 10351.4733250876. The cubic root of 107153000 is about 474.9721128596.

The spelling of 107153000 in words is "one hundred seven million, one hundred fifty-three thousand".