106961967 has 18 divisors (see below), whose sum is σ = 176707752. Its totient is φ = 61074216.

The previous prime is 106961923. The next prime is 106961993. The reversal of 106961967 is 769169601.

It is not a de Polignac number, because 106961967 - 2⁷ = 106961839 is a prime.

It is a super-2 number, since 2×106961967² = 22881724769018178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106961917) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81438 + ... + 82740.

Almost surely, 2^106961967 is an apocalyptic number.

106961967 is a deficient number, since it is larger than the sum of its proper divisors (69745785).

106961967 is an frugal number, since it uses more digits than its factorization.

106961967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 106961967 is about 10342.2418749515. The cubic root of 106961967 is about 474.6896839269.

It can be divided in two parts, 1069 and 61967, that added together give a palindrome (63036).

The spelling of 106961967 in words is "one hundred six million, nine hundred sixty-one thousand, nine hundred sixty-seven".