102607830 has 256 divisors, whose sum is σ = 325140480. Its totient is φ = 22809600.

The previous prime is 102607811. The next prime is 102607877. The reversal of 102607830 is 38706201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102607794 and 102607803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2502610 + ... + 2502650.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^102607830 is an apocalyptic number.

102607830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102607830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

102607830 is an abundant number, since it is smaller than the sum of its proper divisors (222532650).

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

102607830 is a wasteful number, since it uses less digits than its factorization.

102607830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102607830 is about 10129.5523099493. The cubic root of 102607830 is about 468.1591339178.

The spelling of 102607830 in words is "one hundred two million, six hundred seven thousand, eight hundred thirty".