102690000 has 300 divisors, whose sum is σ = 412942816. Its totient is φ = 23328000.

The previous prime is 102689989. The next prime is 102690017. The reversal of 102690000 is 96201.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×102690000² = 21090472200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629919 + ... + 630081.

Almost surely, 2^102690000 is an apocalyptic number.

102690000 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 102690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206471408).

102690000 is an abundant number, since it is smaller than the sum of its proper divisors (310252816).

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

102690000 is a wasteful number, since it uses less digits than its factorization.

102690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102690000 is about 10133.6074524327. The cubic root of 102690000 is about 468.2840703605.

The spelling of 102690000 in words is "one hundred two million, six hundred ninety thousand".