103225445136 has 240 divisors, whose sum is σ = 348198963840. Its totient is φ = 28160225280.

The previous prime is 103225445131. The next prime is 103225445231. The reversal of 103225445136 is 631544522301.

103225445136 is a `hidden beast` number, since 1 + 0 + 32 + 2 + 544 + 51 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103225445136.

It is not an unprimeable number, because it can be changed into a prime (103225445131) 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, 536010 + ... + 702678.

It is an arithmetic number, because the mean of its divisors is an integer number (1450829016).

Almost surely, 2^103225445136 is an apocalyptic number.

103225445136 is a gapful number since it is divisible by the number (16) 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 103225445136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174099481920).

103225445136 is an abundant number, since it is smaller than the sum of its proper divisors (244973518704).

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

103225445136 is a wasteful number, since it uses less digits than its factorization.

103225445136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166734 (or 166725 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 103225445136 its reverse (631544522301), we get a palindrome (734769967437).

The spelling of 103225445136 in words is "one hundred three billion, two hundred twenty-five million, four hundred forty-five thousand, one hundred thirty-six".