106754700 has 144 divisors (see below), whose sum is σ = 343755776. Its totient is φ = 25401600.

The previous prime is 106754671. The next prime is 106754717. The reversal of 106754700 is 7457601.

It is a happy number.

It is a super-2 number, since 2×106754700² = 22793131944180000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120459 + ... + 121341.

Almost surely, 2^106754700 is an apocalyptic number.

106754700 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 106754700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171877888).

106754700 is an abundant number, since it is smaller than the sum of its proper divisors (237001076).

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

106754700 is a wasteful number, since it uses less digits than its factorization.

106754700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 106754700 is about 10332.2166063241. The cubic root of 106754700 is about 474.3828735451.

The spelling of 106754700 in words is "one hundred six million, seven hundred fifty-four thousand, seven hundred".