106978752 has 56 divisors (see below), whose sum is σ = 314502800. Its totient is φ = 35659008.

The previous prime is 106978747. The next prime is 106978757. The reversal of 106978752 is 257879601.

It is an interprime number because it is at equal distance from previous prime (106978747) and next prime (106978757).

It is a super-2 number, since 2×106978752² = 22888906758955008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106978698 and 106978707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106978757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29227 + ... + 32682.

Almost surely, 2^106978752 is an apocalyptic number.

106978752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106978752 is an abundant number, since it is smaller than the sum of its proper divisors (207524048).

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

106978752 is an equidigital number, since it uses as much as digits as its factorization.

106978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61930 (or 61914 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 106978752 is about 10343.0533209493. The cubic root of 106978752 is about 474.7145128445.

The spelling of 106978752 in words is "one hundred six million, nine hundred seventy-eight thousand, seven hundred fifty-two".