102693780 has 144 divisors (see below), whose sum is σ = 359049600. Its totient is φ = 23272704.

The previous prime is 102693763. The next prime is 102693797. The reversal of 102693780 is 87396201.

It is an interprime number because it is at equal distance from previous prime (102693763) and next prime (102693797).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187467 + ... + 188013.

It is an arithmetic number, because the mean of its divisors is an integer number (2493400).

Almost surely, 2^102693780 is an apocalyptic number.

102693780 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 102693780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179524800).

102693780 is an abundant number, since it is smaller than the sum of its proper divisors (256355820).

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

102693780 is a wasteful number, since it uses less digits than its factorization.

102693780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102693780 is about 10133.7939588290. The cubic root of 102693780 is about 468.2898161068.

The spelling of 102693780 in words is "one hundred two million, six hundred ninety-three thousand, seven hundred eighty".