106967172 has 48 divisors (see below), whose sum is σ = 270777920. Its totient is φ = 32669568.

The previous prime is 106967153. The next prime is 106967191. The reversal of 106967172 is 271769601.

It is an interprime number because it is at equal distance from previous prime (106967153) and next prime (106967191).

It is a super-2 number, since 2×106967172² = 22883951771355168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106967172.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19218 + ... + 24150.

Almost surely, 2^106967172 is an apocalyptic number.

106967172 is a gapful number since it is divisible by the number (12) 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 106967172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135388960).

106967172 is an abundant number, since it is smaller than the sum of its proper divisors (163810748).

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

106967172 is a wasteful number, since it uses less digits than its factorization.

106967172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 106967172 is about 10342.4935097877. The cubic root of 106967172 is about 474.6973836099.

The spelling of 106967172 in words is "one hundred six million, nine hundred sixty-seven thousand, one hundred seventy-two".