105237240100 has 36 divisors (see below), whose sum is σ = 230930727300. Its totient is φ = 41621916160.

The previous prime is 105237240067. The next prime is 105237240107. The reversal of 105237240100 is 1042732501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43577397504 + 61659842596 = 208752^2 + 248314^2 .

It is a super-2 number, since 2×105237240100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (105237240107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5903305 + ... + 5921104.

It is an arithmetic number, because the mean of its divisors is an integer number (6414742425).

Almost surely, 2^105237240100 is an apocalyptic number.

105237240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105237240100 is an abundant number, since it is smaller than the sum of its proper divisors (125693487200).

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

105237240100 is a wasteful number, since it uses less digits than its factorization.

105237240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11824512 (or 11824505 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 105237240100 its reverse (1042732501), we get a palindrome (106279972601).

The spelling of 105237240100 in words is "one hundred five billion, two hundred thirty-seven million, two hundred forty thousand, one hundred".