103642545240 has 96 divisors (see below), whose sum is σ = 362748924720. Its totient is φ = 25512009984.

The previous prime is 103642545233. The next prime is 103642545247. The reversal of 103642545240 is 42545246301.

103642545240 is a `hidden beast` number, since 1 + 0 + 3 + 642 + 5 + 4 + 5 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103642545233) and next prime (103642545247).

It is a super-3 number, since 3×103642545240³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103642545195 and 103642545204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103642545247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11068242 + ... + 11077601.

Almost surely, 2^103642545240 is an apocalyptic number.

103642545240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103642545240 is an abundant number, since it is smaller than the sum of its proper divisors (259106379480).

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

103642545240 is a wasteful number, since it uses less digits than its factorization.

103642545240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22145873 (or 22145866 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 103642545240 in words is "one hundred three billion, six hundred forty-two million, five hundred forty-five thousand, two hundred forty".