102946010496000 has 1408 divisors, whose sum is σ = 403339880146944. Its totient is φ = 22814510284800.

The previous prime is 102946010495983. The next prime is 102946010496001. The reversal of 102946010496000 is 694010649201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102946010496001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31129726347 + ... + 31129729653.

Almost surely, 2^{102946010496000} is an apocalyptic number.

102946010496000 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 102946010496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201669940073472).

102946010496000 is an abundant number, since it is smaller than the sum of its proper divisors (300393869650944).

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

102946010496000 is a wasteful number, since it uses less digits than its factorization.

102946010496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 102946010496000 in words is "one hundred two trillion, nine hundred forty-six billion, ten million, four hundred ninety-six thousand".