102440432313100 has 144 divisors (see below), whose sum is σ = 265111487778816. Its totient is φ = 33593665248000.

The previous prime is 102440432313097. The next prime is 102440432313103. The reversal of 102440432313100 is 1313234044201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102440432313097) and next prime (102440432313103).

It is a super-2 number, since 2×102440432313100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (102440432313103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338931045 + ... + 339233155.

It is an arithmetic number, because the mean of its divisors is an integer number (1841051998464).

Almost surely, 2^{102440432313100} is an apocalyptic number.

102440432313100 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 102440432313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132555743889408).

102440432313100 is an abundant number, since it is smaller than the sum of its proper divisors (162671055465716).

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

102440432313100 is a wasteful number, since it uses less digits than its factorization.

102440432313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323216 (or 323209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 102440432313100 its reverse (1313234044201), we get a palindrome (103753666357301).

The spelling of 102440432313100 in words is "one hundred two trillion, four hundred forty billion, four hundred thirty-two million, three hundred thirteen thousand, one hundred".