106010007500100 has 144 divisors (see below), whose sum is σ = 335062628994240. Its totient is φ = 25664334604800.

The previous prime is 106010007500017. The next prime is 106010007500101. The reversal of 106010007500100 is 1005700010601.

It is a super-2 number, since 2×106010007500100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106010007500101) 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, 19493955 + ... + 24331754.

It is an arithmetic number, because the mean of its divisors is an integer number (2326823812460).

Almost surely, 2^{106010007500100} is an apocalyptic number.

106010007500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010007500100 is an abundant number, since it is smaller than the sum of its proper divisors (229052621494140).

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

106010007500100 is a wasteful number, since it uses less digits than its factorization.

106010007500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43826470 (or 43826463 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

Adding to 106010007500100 its reverse (1005700010601), we get a palindrome (107015707510701).

The spelling of 106010007500100 in words is "one hundred six trillion, ten billion, seven million, five hundred thousand, one hundred".