106666264100 has 288 divisors, whose sum is σ = 271809269760. Its totient is φ = 35925120000.

The previous prime is 106666264093. The next prime is 106666264123. The reversal of 106666264100 is 1462666601.

106666264100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106666264100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230380469 + ... + 230380931.

Almost surely, 2^106666264100 is an apocalyptic number.

106666264100 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 106666264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135904634880).

106666264100 is an abundant number, since it is smaller than the sum of its proper divisors (165143005660).

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

106666264100 is a wasteful number, since it uses less digits than its factorization.

106666264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 106666264100 in words is "one hundred six billion, six hundred sixty-six million, two hundred sixty-four thousand, one hundred".