102949189460 has 96 divisors (see below), whose sum is σ = 235165768992. Its totient is φ = 37631508480.

The previous prime is 102949189457. The next prime is 102949189477. The reversal of 102949189460 is 64981949201.

102949189460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 30021106756 + 72928082704 = 173266^2 + 270052^2 .

It is a super-3 number, since 3×102949189460³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 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, 10835432 + ... + 10844928.

It is an arithmetic number, because the mean of its divisors is an integer number (2449643427).

Almost surely, 2^102949189460 is an apocalyptic number.

102949189460 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 102949189460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117582884496).

102949189460 is an abundant number, since it is smaller than the sum of its proper divisors (132216579532).

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

102949189460 is a wasteful number, since it uses less digits than its factorization.

102949189460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 102949189460 in words is "one hundred two billion, nine hundred forty-nine million, one hundred eighty-nine thousand, four hundred sixty".