102119040 has 96 divisors (see below), whose sum is σ = 352649700. Its totient is φ = 27230208.

The previous prime is 102119009. The next prime is 102119047. The reversal of 102119040 is 40911201.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 28224 = 10104^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102119047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3105 + ... + 14624.

Almost surely, 2^102119040 is an apocalyptic number.

102119040 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 102119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176324850).

102119040 is an abundant number, since it is smaller than the sum of its proper divisors (250530660).

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

102119040 is a wasteful number, since it uses less digits than its factorization.

102119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17754 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102119040 is about 10105.3965780666. The cubic root of 102119040 is about 467.4145649210.

The spelling of 102119040 in words is "one hundred two million, one hundred nineteen thousand, forty".