101151600 has 240 divisors, whose sum is σ = 361643520. Its totient is φ = 23961600.

The previous prime is 101151587. The next prime is 101151607. The reversal of 101151600 is 6151101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101151600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101151607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042752 + ... + 1042848.

It is an arithmetic number, because the mean of its divisors is an integer number (1506848).

Almost surely, 2^101151600 is an apocalyptic number.

101151600 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 101151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180821760).

101151600 is an abundant number, since it is smaller than the sum of its proper divisors (260491920).

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

101151600 is a wasteful number, since it uses less digits than its factorization.

101151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101151600 is about 10057.4151748846. The cubic root of 101151600 is about 465.9338384706.

The spelling of 101151600 in words is "one hundred one million, one hundred fifty-one thousand, six hundred".