101285700 has 72 divisors (see below), whose sum is σ = 294335328. Its totient is φ = 26891520.

The previous prime is 101285633. The next prime is 101285707. The reversal of 101285700 is 7582101.

It is not an unprimeable number, because it can be changed into a prime (101285707) 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 23 ways as a sum of consecutive naturals, for example, 84304 + ... + 85496.

Almost surely, 2^101285700 is an apocalyptic number.

101285700 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 101285700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147167664).

101285700 is an abundant number, since it is smaller than the sum of its proper divisors (193049628).

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

101285700 is a wasteful number, since it uses less digits than its factorization.

101285700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 101285700 is about 10064.0796896686. The cubic root of 101285700 is about 466.1396488143.

The spelling of 101285700 in words is "one hundred one million, two hundred eighty-five thousand, seven hundred".