106951440 has 40 divisors (see below), whose sum is σ = 331550208. Its totient is φ = 28520320.

The previous prime is 106951417. The next prime is 106951451. The reversal of 106951440 is 44159601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106951440² = 22877221036147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106951398 and 106951407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222576 + ... + 223055.

Almost surely, 2^106951440 is an apocalyptic number.

106951440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106951440 is an abundant number, since it is smaller than the sum of its proper divisors (224598768).

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

106951440 is a wasteful number, since it uses less digits than its factorization.

106951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445647 (or 445641 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106951440 is about 10341.7329302202. The cubic root of 106951440 is about 474.6741107208.

The spelling of 106951440 in words is "one hundred six million, nine hundred fifty-one thousand, four hundred forty".