106949700 has 288 divisors, whose sum is σ = 405390720. Its totient is φ = 23846400.

The previous prime is 106949693. The next prime is 106949723. The reversal of 106949700 is 7949601.

It is a super-2 number, since 2×106949700² = 22876476660180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385962 + ... + 386238.

Almost surely, 2^106949700 is an apocalyptic number.

106949700 is a gapful number since it is divisible by the number (10) 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 106949700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202695360).

106949700 is an abundant number, since it is smaller than the sum of its proper divisors (298441020).

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

106949700 is a wasteful number, since it uses less digits than its factorization.

106949700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 106949700 is about 10341.6488047119. The cubic root of 106949700 is about 474.6715365388.

Subtracting from 106949700 its reverse (7949601), we obtain a palindrome (99000099).

The spelling of 106949700 in words is "one hundred six million, nine hundred forty-nine thousand, seven hundred".