105701940 has 144 divisors (see below), whose sum is σ = 348741120. Its totient is φ = 25816320.

The previous prime is 105701923. The next prime is 105701957. The reversal of 105701940 is 49107501.

105701940 is a `hidden beast` number, since 1 + 0 + 570 + 1 + 94 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105701923) and next prime (105701957).

It is a super-2 number, since 2×105701940² = 22345800239527200, which contains 22 as substring.

It is a congruent number.

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, 105522 + ... + 106518.

Almost surely, 2^105701940 is an apocalyptic number.

105701940 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 105701940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174370560).

105701940 is an abundant number, since it is smaller than the sum of its proper divisors (243039180).

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

105701940 is a wasteful number, since it uses less digits than its factorization.

105701940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105701940 is about 10281.1448778820. The cubic root of 105701940 is about 472.8183459775.

The spelling of 105701940 in words is "one hundred five million, seven hundred one thousand, nine hundred forty".