106761749100 has 144 divisors (see below), whose sum is σ = 316923528096. Its totient is φ = 27732224000.

The previous prime is 106761749077. The next prime is 106761749111. The reversal of 106761749100 is 1947167601.

It is a super-2 number, since 2×106761749100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8320690 + ... + 8333510.

It is an arithmetic number, because the mean of its divisors is an integer number (2200857834).

Almost surely, 2^106761749100 is an apocalyptic number.

106761749100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106761749100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158461764048).

106761749100 is an abundant number, since it is smaller than the sum of its proper divisors (210161778996).

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

106761749100 is a wasteful number, since it uses less digits than its factorization.

106761749100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 106761749100 in words is "one hundred six billion, seven hundred sixty-one million, seven hundred forty-nine thousand, one hundred".