106242341563040 has 48 divisors (see below), whose sum is σ = 251001911838888. Its totient is φ = 42496195055616.

The previous prime is 106242341562991. The next prime is 106242341563081. The reversal of 106242341563040 is 40365143242601.

It can be written as a sum of positive squares in 4 ways, for example, as 82960983157264 + 23281358405776 = 9108292^2 + 4825076^2 .

It is a super-2 number, since 2×106242341563040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450164 + ... + 14979596.

Almost surely, 2^{106242341563040} is an apocalyptic number.

106242341563040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106242341563040 is an abundant number, since it is smaller than the sum of its proper divisors (144759570275848).

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

106242341563040 is a wasteful number, since it uses less digits than its factorization.

106242341563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587041 (or 11587033 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 106242341563040 in words is "one hundred six trillion, two hundred forty-two billion, three hundred forty-one million, five hundred sixty-three thousand, forty".