102961944288 has 384 divisors, whose sum is σ = 356261068800. Its totient is φ = 28305801216.

The previous prime is 102961944263. The next prime is 102961944313. The reversal of 102961944288 is 882449169201.

It is a happy number.

102961944288 is a `hidden beast` number, since 1 + 0 + 29 + 6 + 194 + 428 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (102961944263) and next prime (102961944313).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61912545 + ... + 61914207.

It is an arithmetic number, because the mean of its divisors is an integer number (927763200).

Almost surely, 2^102961944288 is an apocalyptic number.

102961944288 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 102961944288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178130534400).

102961944288 is an abundant number, since it is smaller than the sum of its proper divisors (253299124512).

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

102961944288 is a wasteful number, since it uses less digits than its factorization.

102961944288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 102961944288 in words is "one hundred two billion, nine hundred sixty-one million, nine hundred forty-four thousand, two hundred eighty-eight".