102015050940 has 192 divisors, whose sum is σ = 352102464000. Its totient is φ = 24311669760.

The previous prime is 102015050939. The next prime is 102015050947. The reversal of 102015050940 is 49050510201.

102015050940 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 150 + 509 + 4 + 0 = 666.

102015050940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102015050940³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102015050947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204916 + ... + 496004.

It is an arithmetic number, because the mean of its divisors is an integer number (1833867000).

Almost surely, 2^102015050940 is an apocalyptic number.

102015050940 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 102015050940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176051232000).

102015050940 is an abundant number, since it is smaller than the sum of its proper divisors (250087413060).

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

102015050940 is a wasteful number, since it uses less digits than its factorization.

102015050940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291177 (or 291169 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 102015050940 in words is "one hundred two billion, fifteen million, fifty thousand, nine hundred forty".