102961368 has 80 divisors (see below), whose sum is σ = 298386000. Its totient is φ = 33130944.

The previous prime is 102961357. The next prime is 102961381. The reversal of 102961368 is 863169201.

102961368 is a `hidden beast` number, since 1 + 0 + 296 + 1 + 368 = 666.

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 19 ways as a sum of consecutive naturals, for example, 16053 + ... + 21531.

It is an arithmetic number, because the mean of its divisors is an integer number (3729825).

Almost surely, 2^102961368 is an apocalyptic number.

102961368 is a gapful number since it is divisible by the number (18) 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 102961368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149193000).

102961368 is an abundant number, since it is smaller than the sum of its proper divisors (195424632).

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

102961368 is a wasteful number, since it uses less digits than its factorization.

102961368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 102961368 is about 10146.9881245619. The cubic root of 102961368 is about 468.6962024660.

It can be divided in two parts, 10296 and 1368, that added together give a square (11664 = 108²).

The spelling of 102961368 in words is "one hundred two million, nine hundred sixty-one thousand, three hundred sixty-eight".