106306510525530 has 48 divisors (see below), whose sum is σ = 296790421226400. Its totient is φ = 24298630976928.

The previous prime is 106306510525507. The next prime is 106306510525531. The reversal of 106306510525530 is 35525015603601.

It is a super-2 number, since 2×106306510525530² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106306510525531) 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, 36158675580 + ... + 36158678519.

It is an arithmetic number, because the mean of its divisors is an integer number (6183133775550).

Almost surely, 2^{106306510525530} is an apocalyptic number.

106306510525530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106306510525530 is an abundant number, since it is smaller than the sum of its proper divisors (190483910700870).

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

106306510525530 is a wasteful number, since it uses less digits than its factorization.

106306510525530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72317354123 (or 72317354116 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 106306510525530 in words is "one hundred six trillion, three hundred six billion, five hundred ten million, five hundred twenty-five thousand, five hundred thirty".