106946004676 has 135 divisors (see below), whose sum is σ = 226265583887. Its totient is φ = 44226996240.

The previous prime is 106946004661. The next prime is 106946004679. The reversal of 106946004676 is 676400649601.

The square root of 106946004676 is 327026.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×106946004676² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (106946004679) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1506281721 + ... + 1506281791.

Almost surely, 2^106946004676 is an apocalyptic number.

106946004676 is the 327026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106946004676

106946004676 is an abundant number, since it is smaller than the sum of its proper divisors (119319579211).

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

106946004676 is an frugal number, since it uses more digits than its factorization.

106946004676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 106946004676 by its sum of digits (49), we get a square (5240354229124 = 2289182²).

106946004676 divided by its sum of digits (49) gives a square (2182571524 = 46718²).

The spelling of 106946004676 in words is "one hundred six billion, nine hundred forty-six million, four thousand, six hundred seventy-six".