106473116100 has 144 divisors (see below), whose sum is σ = 332823059072. Its totient is φ = 26124733440.

The previous prime is 106473116081. The next prime is 106473116147. The reversal of 106473116100 is 1611374601.

It is a super-2 number, since 2×106473116100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1177089 + ... + 1264311.

Almost surely, 2^106473116100 is an apocalyptic number.

106473116100 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 106473116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166411529536).

106473116100 is an abundant number, since it is smaller than the sum of its proper divisors (226349942972).

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

106473116100 is a wasteful number, since it uses less digits than its factorization.

106473116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87566 (or 87559 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 106473116100 in words is "one hundred six billion, four hundred seventy-three million, one hundred sixteen thousand, one hundred".