102090780 has 240 divisors, whose sum is σ = 371026656. Its totient is φ = 23224320.

The previous prime is 102090749. The next prime is 102090787. The reversal of 102090780 is 87090201.

It is a super-2 number, since 2×102090780² = 20845054722016800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102090787) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 302772 + ... + 303108.

Almost surely, 2^102090780 is an apocalyptic number.

102090780 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 102090780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185513328).

102090780 is an abundant number, since it is smaller than the sum of its proper divisors (268935876).

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

102090780 is a wasteful number, since it uses less digits than its factorization.

102090780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102090780 is about 10103.9982185272. The cubic root of 102090780 is about 467.3714441531.

The spelling of 102090780 in words is "one hundred two million, ninety thousand, seven hundred eighty".