101780900 has 72 divisors (see below), whose sum is σ = 242067840. Its totient is φ = 36915840.

The previous prime is 101780881. The next prime is 101780927. The reversal of 101780900 is 9087101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 101780900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76037 + ... + 77363.

Almost surely, 2^101780900 is an apocalyptic number.

101780900 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 101780900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121033920).

101780900 is an abundant number, since it is smaller than the sum of its proper divisors (140286940).

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

101780900 is a wasteful number, since it uses less digits than its factorization.

101780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 101780900 is about 10088.6520407832. The cubic root of 101780900 is about 466.8980881662.

The spelling of 101780900 in words is "one hundred one million, seven hundred eighty thousand, nine hundred".