106051940 has 24 divisors (see below), whose sum is σ = 226913400. Its totient is φ = 41619968.

The previous prime is 106051937. The next prime is 106051949. The reversal of 106051940 is 49150601.

It can be written as a sum of positive squares in 4 ways, for example, as 702244 + 105349696 = 838^2 + 10264^2 .

It is a super-2 number, since 2×106051940² = 22494027955527200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106051949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48965 + ... + 51084.

It is an arithmetic number, because the mean of its divisors is an integer number (9454725).

Almost surely, 2^106051940 is an apocalyptic number.

106051940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106051940 is an abundant number, since it is smaller than the sum of its proper divisors (120861460).

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

106051940 is a wasteful number, since it uses less digits than its factorization.

106051940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111 (or 100109 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106051940 is about 10298.1522614496. The cubic root of 106051940 is about 473.3396360112.

It can be divided in two parts, 1060 and 51940, that multiplied together give a square (55056400 = 7420²).

The spelling of 106051940 in words is "one hundred six million, fifty-one thousand, nine hundred forty".