105400038 has 32 divisors (see below), whose sum is σ = 216700416. Its totient is φ = 34159968.

The previous prime is 105400037. The next prime is 105400039. The reversal of 105400038 is 830004501.

It is an interprime number because it is at equal distance from previous prime (105400037) and next prime (105400039).

It is a super-2 number, since 2×105400038² = 22218336020802888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105399987 and 105400023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105400037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44820 + ... + 47112.

It is an arithmetic number, because the mean of its divisors is an integer number (6771888).

Almost surely, 2^105400038 is an apocalyptic number.

105400038 is an abundant number, since it is smaller than the sum of its proper divisors (111300378).

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

105400038 is a wasteful number, since it uses less digits than its factorization.

105400038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105400038 is about 10266.4520648567. The cubic root of 105400038 is about 472.3677679302.

Adding to 105400038 its reverse (830004501), we get a palindrome (935404539).

The spelling of 105400038 in words is "one hundred five million, four hundred thousand, thirty-eight".