102661944 has 128 divisors (see below), whose sum is σ = 324794880. Its totient is φ = 26265600.

The previous prime is 102661913. The next prime is 102661957. The reversal of 102661944 is 449166201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134524 + ... + 135284.

It is an arithmetic number, because the mean of its divisors is an integer number (2537460).

Almost surely, 2^102661944 is an apocalyptic number.

102661944 is a gapful number since it is divisible by the number (14) 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 102661944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397440).

102661944 is an abundant number, since it is smaller than the sum of its proper divisors (222132936).

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

102661944 is a wasteful number, since it uses less digits than its factorization.

102661944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 102661944 is about 10132.2230532100. The cubic root of 102661944 is about 468.2414197469.

The spelling of 102661944 in words is "one hundred two million, six hundred sixty-one thousand, nine hundred forty-four".